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Finding the Fourth Proportional to 104,957.78, 157,305.44 and 82,683.18

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Solution

The fourth proportional to 104,957.78, 157,305.44 and 82,683.18 is: 123,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,957.78 : 157,305.44 = 82,683.18 : x
  2. Step 2: Convert to fraction form
    104,957.78/157,305.44 = 82,683.18/x
  3. Step 3: Cross multiply
    104,957.78x = 157,305.44 × 82,683.18
  4. Step 4: Simplify right side
    104,957.78x = 13,006,514,217.21
  5. Step 5: Solve for x
    x = 13,006,514,217.21/104,957.78
  6. Step 6: Final answer
    x = 123,921.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.